Yes, a committed USN deployment and response would be quite formidable. A 6 Carrier, 12 Cruiser, 18 Submarine, 36 Destroyer, show of force could be quite an unsettling, and possibly persuasive, demonstration (and very expensive, too)!
That is a formidable force, but likely not enough to stop China from taking Taiwan.
And as long as Taiwan is taken, that counts as victory, even if China suffers greater losses in the process.
1. From a political perspective, Taiwan represents an alternative to the legitimacy of the Communist Party as the ruler of China.
Much like how the Confederate States of America would have represented a rival to the legitimacy of the USA
2. From a military perspective, Taiwan is key to any military containment policy enacted by the US.
At the moment, China's military capabilities have been developed with a focus on Taiwan which is just next to China's coast.
But if China has Taiwan, China's military will have access to the Pacific and will refocus its spending on becoming a global blue-water navy.
And historically, the world's largest trading nation builds the world's largest navy to protect its overseas trade and investments.
We saw this with the USA after World War 2, with the British Empire before them, with the Dutch Republic, and the Spanish Empire prior.
3. From an economic perspective, Chinese control of the Taiwanese semiconductor industry would be an economic boon and source of leverage against the USA.
---
Of course, this ignores China's expanding nuclear arsenal.
The US will not be able to initiate a war with China because the result is a nuclear exchange.
